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Finding the Third Proportional to 434,746 and 668,319

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Solution

The third proportional to 434,746 and 668,319 is: 1,027,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,746 : 668,319 = 668,319 : x
  2. Step 2: Convert to fraction form
    434,746/668,319 = 668,319/x
  3. Step 3: Cross multiply
    434,746x = 668,319 × 668,319
  4. Step 4: Simplify right side
    434,746x = 446,650,285,761
  5. Step 5: Solve for x
    x = 446,650,285,761/434,746
  6. Step 6: Final answer
    x = 1,027,382.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.